Details

Time bar (total: 10.5s)

sample36.0ms

Algorithm
intervals
Results
16.0ms313×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4657
5917
62197
75797
816347
948567
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.2b
(/ (* x (- y z)) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
21.0ms
(* x (- y z))
18.0ms
(/ (* x (- y z)) y)

series93.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
55.0ms
(/ (* x (- y z)) y)

simplify637.0ms

Counts
55 → 55
Iterations

Useful iterations: done (635.0ms)

IterNodesCost
090481
1236457
2976407
done5000399

prune123.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.8b
(/ x (/ y (- y z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
21.0ms
(/ y (- y z))
24.0ms
(/ x (/ y (- y z)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ y (- y z))
67.0ms
(/ x (/ y (- y z)))

simplify1.0s

Counts
145 → 145
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02182050
15601936
228181850
done50011842

prune398.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.6b
(* (cbrt y) (cbrt y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
29×add-sqr-sqrt
21×*-un-lft-identity
15×add-cube-cbrt
11×pow1
9×pow1/3
6×add-exp-log cbrt-div swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
6.0ms
(cbrt (- y z))
6.0ms
(cbrt (- y z))
6.0ms
(cbrt (- y z))
16.0ms
(* (cbrt y) (cbrt y))

series722.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- y z))
149.0ms
(cbrt (- y z))
150.0ms
(cbrt (- y z))
271.0ms
(* (cbrt y) (cbrt y))

simplify2.6s

Counts
97 → 97
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0113887
1247824
2771754
33589715
done5002674

prune407.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
12.3b
(/ (/ x y) (/ 1 (- y z)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 372
Calls
2 calls:
12.0ms
(/ 1 (- y z))
34.0ms
(/ (/ x y) (/ 1 (- y z)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1 (- y z))
51.0ms
(/ (/ x y) (/ 1 (- y z)))

simplify900.0ms

Counts
378 → 378
Iterations

Useful iterations: done (888.0ms)

IterNodesCost
05668031
119606845
done50015983

prune488.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
done1225

end0.0ms

sample1.2s

Algorithm
intervals
Results
387.0ms9600×body80valid